Cycles why image squence texture is automatically animating?
You need to animate the 'offset' value of the image node. The offest needs to decrease by one for every one frame you go forward.

So on frame 5, you would need to make the offset '-4' as you have gone forward 4 frames (from frame 1):



So even though you have gone forward it will still show frame 1 of the image sequence.

If it was frame 7 you would offset by '-6' frames to still only show frame 1:





The following only works for the viewport, not the render.

You have 'Auto Refresh' turned on on your image nodes:



Turn this off if you don't want the frames to update automatically on frame changes.